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Finding the Fourth Proportional to 368,915.88, 509,098.50 and 207,771.24

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Solution

The fourth proportional to 368,915.88, 509,098.50 and 207,771.24 is: 286,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,915.88 : 509,098.50 = 207,771.24 : x
  2. Step 2: Convert to fraction form
    368,915.88/509,098.50 = 207,771.24/x
  3. Step 3: Cross multiply
    368,915.88x = 509,098.50 × 207,771.24
  4. Step 4: Simplify right side
    368,915.88x = 105,776,026,627.14
  5. Step 5: Solve for x
    x = 105,776,026,627.14/368,915.88
  6. Step 6: Final answer
    x = 286,721.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.